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Finding the Fourth Proportional to 46,351.72, 69,526.86 and 18,649

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Solution

The fourth proportional to 46,351.72, 69,526.86 and 18,649 is: 27,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,351.72 : 69,526.86 = 18,649 : x
  2. Step 2: Convert to fraction form
    46,351.72/69,526.86 = 18,649/x
  3. Step 3: Cross multiply
    46,351.72x = 69,526.86 × 18,649
  4. Step 4: Simplify right side
    46,351.72x = 1,296,606,412.14
  5. Step 5: Solve for x
    x = 1,296,606,412.14/46,351.72
  6. Step 6: Final answer
    x = 27,973.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.